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The ideal gas equation can be rearranged to give an expression for the molar volume of an ideal gas: = = Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is based on the gas constant: R = 8.314 462 618 153 24 m 3 ⋅Pa⋅K −1 ⋅mol −1, or about 8.205 736 608 095 96 × 10 −5 m 3 ⋅atm⋅K ...
A simple arithmetic calculator was first included with Windows 1.0. [5]In Windows 3.0, a scientific mode was added, which included exponents and roots, logarithms, factorial-based functions, trigonometry (supports radian, degree and gradians angles), base conversions (2, 8, 10, 16), logic operations, statistical functions such as single variable statistics and linear regression.
A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...
Mathematics: The probability of matching 20 numbers for 20 in a game of keno is approximately 2.83 × 10 −19. Mathematics: The odds of a perfect bracket in the NCAA Division I men's basketball tournament are 1 in 2 63 , approximately 1.08 × 10 −19 , if coin flips are used to predict the winners of the 63 matches.
2.20 3.36 4.88 5.99 7.78 9.49 13.28 ... would appear in modern notation as −½x T ... cdf and inverse cdf for the chi-squared distribution with a pocket calculator;
Statistical subregions as defined by the United Nations Statistics Division [1]. This is the list of countries and other inhabited territories of the world by total population, based on estimates published by the United Nations in the 2024 revision of World Population Prospects.
The following conventions are used: Cognates are in general given in the oldest well-documented language of each family, although forms in modern languages are given for families in which the older stages of the languages are poorly documented or do not differ significantly from the modern languages.
The Great Famine, also known as the Great Hunger (Irish: an Gorta Mór [ənˠ ˈɡɔɾˠt̪ˠə ˈmˠoːɾˠ]), the Famine and the Irish Potato Famine, [1] [2] was a period of mass starvation and disease in Ireland lasting from 1845 to 1852 that constituted a historical social crisis and had a major impact on Irish society and history as a whole. [3]